19925 ÷ 45 
We're looking to find how many times 45 goes into 19925.

Going ahead to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 45

Advancing to step 2:
If we divide 19 by 45, we get 0 and a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Bring next digit (9) of the dividend behind the 19 and repeat the process: 199 / 45

Going ahead to step 3:
If we divide 199 by 45, we get 4 and a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 180 from 199 and we're left with 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 45

Moving on to step 4:
When dividing 192 by 45, we get 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 44.0
The remainder is 12 after subtracting 180 from 192.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 45

Step 5:
When dividing 125 by 45, we get 2 with a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 442.0
Subtract 90 from 125 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 6:
45 goes into 350 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 442.7
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
350 divided by 45 is 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 442.77
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 442.77 and a remainder of 0.035.